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Finding the Third Proportional to 22,963.50 and 32,243.06

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Solution

The third proportional to 22,963.50 and 32,243.06 is: 45,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 32,243.06 = 32,243.06 : x
  2. Step 2: Convert to fraction form
    22,963.50/32,243.06 = 32,243.06/x
  3. Step 3: Cross multiply
    22,963.50x = 32,243.06 × 32,243.06
  4. Step 4: Simplify right side
    22,963.50x = 1,039,615,079.38
  5. Step 5: Solve for x
    x = 1,039,615,079.38/22,963.50
  6. Step 6: Final answer
    x = 45,272.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.